I have a 2013 Equinox that we've towed since new......great vehicle easy to tow.
The "death wobble" as previously noted started raising it's head a couple of years ago. It's caused when you turn your wheels on the motorhome too tight when pulling out of your driveway,from a stop sign at an intersection, etc.
It's been noted that the 4 cyl model(which I have)has electronic steering is the reason for the "death wobble" which is the front wheels on the car whipping side to side until you come to a complete stop so they reset as you slowly pull away again. The fuse that the towing guide suggests you pull when towing shuts down the electric to the steering control. I tested the theory by leaving the fuse in so the electric was intact and it cured the problem, so I'm probably going to run a line from my rig to the car to keep the battery charged while towing. My first test trip will be to leave the fuse in and carry my juice box along in case the battery does get run down so I can jump the car.
NOW, if you are looking for an Equinox to tow, find one with the 6 cylinder engine, they have hydraulic steering which prevents the wobble!